LCM for 20 and 36
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What's the Least Common Multiple (LCM) of 20 and 36?
Answer
LCM of 20 and 36 is
180
First common multiples: 180, 360, 540, …
180 is divisible by both: 180 ÷ 20 = 9, 180 ÷ 36 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 9 and of y/36 by 5.
20 = 22 × 5
36 = 22 × 32
| Prime | 20 | 36 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | — | 32 | 32 |
| 5 | 5 | — | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 5 = 180
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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